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Finding the Fourth Proportional to 17,092.65, 25,641.69 and 7,232

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Solution

The fourth proportional to 17,092.65, 25,641.69 and 7,232 is: 10,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,092.65 : 25,641.69 = 7,232 : x
  2. Step 2: Convert to fraction form
    17,092.65/25,641.69 = 7,232/x
  3. Step 3: Cross multiply
    17,092.65x = 25,641.69 × 7,232
  4. Step 4: Simplify right side
    17,092.65x = 185,440,665.92
  5. Step 5: Solve for x
    x = 185,440,665.92/17,092.65
  6. Step 6: Final answer
    x = 10,849.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.